Module Information

Module Identifier
MA26510
Module Title
Statistical Methods
Academic Year
2015/2016
Co-ordinator
Semester
Semester 1
Mutually Exclusive
Pre-Requisite
Other Staff

Course Delivery

Delivery Type Delivery length / details
Lecture 11 x 1 Hour Lectures
Practical 11 x 2 Hour Practicals
 

Assessment

Assessment Type Assessment length / details Proportion
Semester Assessment Coursework  40%
Semester Exam 3 Hours   Open-book examination  60%
Supplementary Exam 3 Hours   (practical examination)  100%

Learning Outcomes

On completion of this module, a student should be able to:
1. summarise effectively a set of data;
2. identify the statistical techniques appropriate to analysing a given situation;
3. carry out standard statistical procedures for one and two samples;
4. state and check the assumptions required by their analyses;
5. draw conclusions from an analysis of data and write reports concerning these conclusions.

Brief description

There is an increasing demand in the workplace for personnel skilled in the analysis and interpretation of data. This module covers the basic skills of a practising statistician and includes also the preparation of reports.

Aims

This module will give students a thorough grounding in the methods used by a practising statistician.

Content

  1. DESCRIPTIVE STATISTICS: Interpretation of data presented in numerical and graphical forms. Correlation and fitting straight lines. Report writing.
  2. DISTRIBUTIONS: Binomial, Poisson, Normal etc. Parameter estimation including maximum likelihood. Graphical assessment of goodness of fit; Q-Q plots.
  3. BASIC IDEAS: Estimates and standard errors of means, proportions, sums and differences. Fitting straight lines, correlation.
  4. CONFIDENCE STATEMENTS: Construction and interpretation of confidence intervals for means, rates and proportions. Bootstrap confidence intervals. Confidence limits for the difference between parameters.
  5. HYPOTHESIS TESTING: Hypothesis tests; interpretation of p-values. Paired and unpaired two sample t-tests. Bootstrap p-values.
  6. GOODNESS-OF-FIT: Chi-squared test.

Notes

This module is at CQFW Level 5